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Recently, Donley et al. performed an experiment on the dynamics of collapsing and exploding Bose-Einstein condensates by suddenly changing the scattering length of atomic interaction to a large negative value on a preformed repulsive…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

We experimentally study cosmological particle production in a two-dimensional Bose-Einstein condensate, whose density excitations map to an analog cosmology. The expansion of spacetime is realized with tunable interactions. The particle…

Techniques to deal with Feshbach resonances are applied to describe resonant light scattering off one dimensional photonic crystal slabs. Accurate expressions for scattering amplitudes, free of any fitting parameter, are obtained for…

Optics · Physics 2012-09-26 I. Evenor , E. Grinvald , F. Lenz , S. Levit

We consider a quantum theory of elastic light scattering from macroscopic atomic sample existing in the Bose-Einstein condensate (BEC) phase. Following to the second quantized formalism we introduce a set of coupled and closed diagram…

Quantum Physics · Physics 2017-01-17 Victoria Ezhova , Leonid Gerasimov , Dmitriy Kupriyanov

We present a simple technique for studying collisions of ultracold atoms in the presence of a magnetic field and radio-frequency radiation (rf). Resonant control of scattering properties can be achieved by using rf to couple a colliding…

Quantum Gases · Physics 2010-09-28 Thomas M. Hanna , Eite Tiesinga , Paul S. Julienne

We model the formation of stable heteronuclear molecules via pulsed Raman photoassociation of a two-component Bose-Einstein condensate near a strong Feshbach resonance, for both counterintuitive and intuitive pulse sequencing. Compared to…

Atomic Physics · Physics 2011-10-14 Matt Mackie , Pierre Phou , Heather Boyce , Mannix Shinn , Lev Katz

We present a description of the behavior of a superfluid gas of fermions in the presence of a Feshbach resonance over the complete range of magnetic field detunings. Starting from a resonance Hamiltonian, we exploit a functional method to…

Soft Condensed Matter · Physics 2009-02-05 J. N. Milstein , S. J. J. M. F. Kokkelmans , M. J. Holland

We study the rectification process of interacting quantum particles in a periodic potential exposed to the action of an external ac driving. The breaking of spatio-temporal symmetries leads to directed motion already in the absence of…

Quantum Physics · Physics 2008-12-17 Luis Morales-Molina , Sergej Flach

Theoretical treatments of non-equilibrium dynamics in strongly interacting Bose-Fermi mixtures are complicated by the inherent non-Gaussian nature of the vacuum two-body physics, invalidating the typical Hartree-Fock-Bogoliubov…

We explore the Bose condensed phases of an atomic gas on the molecular side of a Feshbach resonance. In the absence of atom-molecule and molecule-molecule scattering, we show that the atomic condensate is either a saddle point of the free…

Other Condensed Matter · Physics 2007-05-23 Sourish Basu , Erich J. Mueller

The study of ultracold atomic Fermi gases is a rapidly exploding subject which is defining new directions in condensed matter and atomic physics. Quite generally what makes these gases so important is their remarkable tunability and…

Quantum Gases · Physics 2012-02-13 K. Levin , Randall G. Hulet

We present the theory of a pair of atoms in a one-dimensional optical lattice interacting via a narrow Feshbach resonance. Using a two-channel description of the resonance, we derive analytic results for the scattering states inside the…

Other Condensed Matter · Physics 2008-02-05 N. Nygaard , R. Piil , K. Molmer

We consider a two-dimensional self-bound quantum droplet, which consists of a mixture of two Bose-Einstein condensates. We start with the ground state, and then turn to the rotational response of this system, in the presence of an external…

Quantum Gases · Physics 2020-08-26 P. Examilioti , G. M. Kavoulakis

The dynamics of collapsing and exploding trapped Bose-Einstein condensat es caused by a sudden switch of interactions from repulsive to attractive a re studied by numerically integrating the Gross-Pitaevskii equation with atomic loss for an…

Condensed Matter · Physics 2016-08-31 Hiroki Saito , Masahito Ueda

We discuss $s$-wave scattering in an atomic binary collision with two coupled channels, tunable by an external magnetic field, one channel open and the other closed for the incident energies considered. The analysis is performed with a…

Quantum Gases · Physics 2023-06-16 G. Andrade-Sanchez , V. Romero-Rochin

We apply an analytical model for anisotropic, colliding Bose-Einstein condensates in a spontaneous four wave mixing geometry to evaluate the second order correlation function of the field of scattered atoms. Our approach uses quantized…

Other Condensed Matter · Physics 2009-11-13 J. Chwedenczuk , P. Zin , M. Trippenbach , A. Perrin , V. Leung , D. Boiron , C. I. Westbrook

We model two bosons in an optical lattice near a Feshbach or photoassociation resonance, focusing on the Bose-Hubbard model in one dimension. Whereas the usual atoms-only theory with a tunable scattering length yields one bound state for a…

Atomic Physics · Physics 2012-03-12 Jerome C. Sanders , Otim Odong , Juha Javanainen , Matt Mackie

For calculating low-energy properties of a dilute gas of atoms interacting via a Feshbach resonance, we develop an effective theory in which the parameters that enter are an atom-molecule coupling strength and the magnetic moment of the…

Statistical Mechanics · Physics 2009-11-10 G. M. Bruun , C. J. Pethick

We present a theory of a degenerate atomic Fermi gas, interacting through a narrow Feshbach resonance, whose position and therefore strength can be tuned experimentally, as demonstrated recently in ultracold trapped atomic gases. The…

Superconductivity · Physics 2007-05-23 V. Gurarie , L. Radzihovsky

We consider the interaction between a single-mode quantized perturbing external field and a Bose-Einstein condensate (BEC) out of equilibrium. The usual Rabi type oscillations between the ground and the excited state of the coherent…

Statistical Mechanics · Physics 2009-11-11 Aranya B Bhattacherjee , Vikash Ranjan , Man Mohan